I need help factoring. Only have a few I cannot figure out?

Question

2x^2 + 16x + 32

Will post the other one separate, ugh

Answer 1

so 2 x 32 is 64

u need to find factors of 64 that add or subtract to 16, this one's easy, its 8 and 8

so


2x^2 +8x + 8x + 32 ( factor each half of the expression)

2x( x + 4) + 8(x + 4) Then you eliminate the "(x+4)" in your head to come up with the partner factor of " 2x+8"

so...

(2x + 8)(x+4)

then u still have to factor the first one,

2(x+4)(x+4)

or

2(x+4)^2


EDIT:
I triple checked this, my answer IS RIGHT, the guys below me left some steps out

Answer 2

You can figure out factoring by finding the multiples of the first and last number, and seeing whnich combination adds to sixteen. For example: the only two factors of 2 are 1, and 2. However, 32, has a number of multiples, such as 4 and 8; 16 and 2, etc. (It's sort of hard to explain, maybe trying looking up the scissor method for factoring.) Anyway, it factors to: (2x+8)(x+4). And the first factor can be broken down even further so the complete answer would be: 2(x+4)(x+4) or 2(x+4)^2.

Answer 3

2x^2 + 16x + 32
= 2(x^2+8x+16)
= 2 (x+4)^2

Answer 4

Use AC method of factor.

Find two numbers that multiply to AC and add to B

2x^2 + 16x + 32

take out 2
2 (x^2 + 8x + 16)

find two numbers that multiply to 16 and add to 8

the two numbers are 4 and 4

since the leading coefficient is 1 after take out the 2. Plug the two numbers in factor form

2 (x + 4) (x + 4)

or

2(x+4)^2

Answer 5

2x^2 + 16x + 32

Your first step is to factor out the greatest common monomial; in this case, it's a constant, 2.

2(x^2 + 8x + 16)

Now factor as per usual methods.

2(x + 4)(x + 4)

or, quite simply,

2(x + 4)^2

Answer 6

2(x + 4)^2

Answer 7

= 2.(x² + 8x + 16)
= 2.(x + 4).(x + 4)
= 2.(x + 4)²

Answer 8

2x^2 + 16x + 32
= 2(x^2 + 8x + 16)
= 2(x + 4)^2
= 2(x+4)(x+4)

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Answer 9

first put 2 in evidence:

2(x^2 + 8x + 16)

Now you find the roots of the function into parenthesis: x=-4 or x=-4 double root

2(x+4)(x+4) = 2(x+4)^2 OK!

Answer 10

2(x^2+8x+16) => 2(x+4)^2